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Finding the Fourth Proportional to 524,189.80, 786,284.70 and 313,719.40

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Solution

The fourth proportional to 524,189.80, 786,284.70 and 313,719.40 is: 470,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,189.80 : 786,284.70 = 313,719.40 : x
  2. Step 2: Convert to fraction form
    524,189.80/786,284.70 = 313,719.40/x
  3. Step 3: Cross multiply
    524,189.80x = 786,284.70 × 313,719.40
  4. Step 4: Simplify right side
    524,189.80x = 246,672,764,313.18
  5. Step 5: Solve for x
    x = 246,672,764,313.18/524,189.80
  6. Step 6: Final answer
    x = 470,579.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.